3. Verify that =(sinx) = cosx using the power series for sinx and differentiating term-by-term. Choose another differentiation or integration rule and verify it using term-by-term differentiation/integration.4. Create a power series with an interval of convergence of [1, 3). (Hint: First, find the center, a. What needs to be true of the sequence a,, in ) a,(x -a)" for it to converge on that interval? Try a sequence with that description, then try another!)